一类Weyi型单李超代数

摘要

本文研究了单李超代数的构造理论.借助于张量积方法,定义了一类Weyl型结合超代数和一类Weyl型李超代数,并且证明了这类Weyl型结合超代数和Weyl型李超代数是单的充分必要条件.%In this paper, we study the construction theory of simple Lie superalgebras. By using the method of tensor product, a class of associative superalgebraa and Lie auperalgebras of Weyl type are defined. In addition, we prove the sufficient and necessary conditions of the simplicity of the associative and the Lie superalgebras.